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1104076032 = 28311511249
BaseRepresentation
bin100000111001110…
…1101110100000000
32211221111212120220
41001303231310000
54230120413112
6301320103040
736234330363
oct10163556400
92757455526
101104076032
11517249734
12269904a80
1314797a037
14a68c00da
1566ddd98c
hex41cedd00

1104076032 has 72 divisors (see below), whose sum is σ = 2943360000. Its totient is φ = 367411200.

The previous prime is 1104076021. The next prime is 1104076069. The reversal of 1104076032 is 2306704011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1104075993 and 1104076011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883344 + ... + 884592.

It is an arithmetic number, because the mean of its divisors is an integer number (40880000).

Almost surely, 21104076032 is an apocalyptic number.

1104076032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680000).

1104076032 is an abundant number, since it is smaller than the sum of its proper divisors (1839283968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1104076032 is a wasteful number, since it uses less digits than its factorization.

1104076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1104076032 is about 33227.6395791215. The cubic root of 1104076032 is about 1033.5535761786.

The spelling of 1104076032 in words is "one billion, one hundred four million, seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1151 1249 2302 2498 3453 3747 4604 4996 6906 7494 9208 9992 13812 14988 18416 19984 27624 29976 36832 39968 55248 59952 73664 79936 110496 119904 147328 159872 220992 239808 294656 319744 441984 479616 883968 959232 1437599 2875198 4312797 5750396 8625594 11500792 17251188 23001584 34502376 46003168 69004752 92006336 138009504 184012672 276019008 368025344 552038016 1104076032